{
  "id": "cond-mat/0508320",
  "version": "v2",
  "published": "2005-08-12T15:53:50.000Z",
  "updated": "2005-08-13T04:35:01.000Z",
  "title": "Large momentum part of fermions with large scattering length",
  "authors": [
    "Shina Tan"
  ],
  "comment": "11 pages, 1 figure; a typo corrected",
  "journal": "Annals of Physics 323 (2008) 2971-2986",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "It is well known that the momentum distribution of the two-component Fermi gas with large scattering length has a tail proportional to $1/k^4$ at large $k$. We show that the magnitude of this tail is equal to the adiabatic derivative of the energy with respect to the reciprocal of the scattering length, multiplied by a simple constant. This result holds at any temperature (as long as the effective interaction radius is negligible) and any large scattering length; it also applies to few-body cases. We then show some more connections between the $1/k^4$ tail and various physical quantities, in particular the rate of change of energy in a DYNAMIC sweep of the inverse scattering length.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-08-13T04:35:01.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "large scattering length",
      "large momentum part",
      "two-component fermi gas",
      "few-body cases",
      "inverse scattering length"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}